{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.graphics.api import qqplot\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "from statsmodels.tsa.stattools import adfuller"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gold_data=pd.read_csv('LBMA-GOLD.csv',parse_dates=['Date'],index_col='Date')\n",
    "bit_data=pd.read_csv('BCHAIN-MKPRU.csv',parse_dates=['Date'],index_col='Date')\n",
    "gold_data.plot(figsize=(9,3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-7.2539382640795775, 1.750694819325931e-10, 23, 1219, {'1%': -3.4357258193266365, '5%': -2.863913913276725, '10%': -2.5680339084067483}, 10041.391280246506)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 648x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "d=2\n",
    "# maybe d=3 can bigger\n",
    "gold_diff=gold_data.diff(d)     \n",
    "gold_diff.plot(figsize=(9,3))\n",
    "x=np.array(gold_diff)\n",
    "x=x[np.logical_not(np.isnan(x))]\n",
    "adftest=adfuller(x,autolag='AIC')\n",
    "print(adftest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一阶差分 通过ADF检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 648x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gold_diff.dropna(inplace=True)\n",
    "fig=plt.figure(figsize=(9,10))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig=sm.graphics.tsa.plot_acf(gold_diff,lags=20,ax=ax1)\n",
    "ax2=fig.add_subplot(212)\n",
    "fig=sm.graphics.tsa.plot_pacf(gold_diff,lags=20,ax=ax2,method='ywm')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由上图得出p q值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# (p,q)=sm.tsa.arma_order_select_ic(gold_diff,max_ar=5,max_ma=5,ic=['aic'])['aic_min_order']\n",
    "# print(p,q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# gold_diff.index\n",
    "x=(gold_diff.index-gold_diff.index.min())/np.timedelta64(1,'D')\n",
    "x=x.values\n",
    "y=gold_diff['USD (PM)'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n",
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n",
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n"
     ]
    }
   ],
   "source": [
    "model=ARIMA(gold_diff,order=(2,2,1))\n",
    "# model=ARIMA(gold_diff,order=(2,d,q))\n",
    "# 4 1 5 pass LBox\n",
    "gold_diff_mod=model.fit()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "建立模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10667.034208556172 10687.52889969699 10674.74159602051\n"
     ]
    }
   ],
   "source": [
    "print(gold_diff_mod.aic,gold_diff_mod.bic,gold_diff_mod.hqic)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "模型的aic bic hqic值 尽可能小"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\graphics\\tsaplots.py:348: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "resid=gold_diff_mod.resid\n",
    "resid=pd.Series(resid)\n",
    "fig=plt.figure(figsize=(12,8))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig=sm.graphics.tsa.plot_acf(resid.values.squeeze(),lags=40,ax=ax1)\n",
    "ax2=fig.add_subplot(212)\n",
    "fig=sm.graphics.tsa.plot_pacf(resid,lags=40,ax=ax2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "acf pacf检验"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "D-W检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.0038111874384548\n"
     ]
    }
   ],
   "source": [
    "print(sm.stats.durbin_watson(resid))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接近2 通过"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "是否符合正态分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,6)) \n",
    "ax = fig.add_subplot(111)\n",
    "fig = qqplot(resid, line='q', ax=ax, fit=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "基本符合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AC</th>\n",
       "      <th>Q</th>\n",
       "      <th>Prob(&gt;Q)</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lag</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1.0</th>\n",
       "      <td>-0.002275</td>\n",
       "      <td>0.006449</td>\n",
       "      <td>9.359951e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.0</th>\n",
       "      <td>-0.129480</td>\n",
       "      <td>20.912756</td>\n",
       "      <td>2.876423e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.0</th>\n",
       "      <td>-0.028373</td>\n",
       "      <td>21.917440</td>\n",
       "      <td>6.786280e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4.0</th>\n",
       "      <td>-0.355763</td>\n",
       "      <td>180.002245</td>\n",
       "      <td>7.448277e-38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.0</th>\n",
       "      <td>-0.043788</td>\n",
       "      <td>182.399034</td>\n",
       "      <td>1.644481e-37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.0</th>\n",
       "      <td>-0.062703</td>\n",
       "      <td>187.317763</td>\n",
       "      <td>9.458142e-38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.0</th>\n",
       "      <td>0.061393</td>\n",
       "      <td>192.036844</td>\n",
       "      <td>5.563848e-38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8.0</th>\n",
       "      <td>0.057800</td>\n",
       "      <td>196.223070</td>\n",
       "      <td>3.990769e-38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9.0</th>\n",
       "      <td>0.016266</td>\n",
       "      <td>196.554885</td>\n",
       "      <td>1.746532e-37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.0</th>\n",
       "      <td>-0.026174</td>\n",
       "      <td>197.414742</td>\n",
       "      <td>5.583377e-37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11.0</th>\n",
       "      <td>-0.019969</td>\n",
       "      <td>197.915611</td>\n",
       "      <td>2.012972e-36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12.0</th>\n",
       "      <td>0.066716</td>\n",
       "      <td>203.511188</td>\n",
       "      <td>6.142887e-37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13.0</th>\n",
       "      <td>0.005911</td>\n",
       "      <td>203.555152</td>\n",
       "      <td>2.542742e-36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.0</th>\n",
       "      <td>0.008139</td>\n",
       "      <td>203.638558</td>\n",
       "      <td>9.912796e-36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15.0</th>\n",
       "      <td>0.004814</td>\n",
       "      <td>203.667768</td>\n",
       "      <td>3.816054e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16.0</th>\n",
       "      <td>-0.039238</td>\n",
       "      <td>205.609590</td>\n",
       "      <td>5.813131e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17.0</th>\n",
       "      <td>-0.023323</td>\n",
       "      <td>206.296215</td>\n",
       "      <td>1.547207e-34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18.0</th>\n",
       "      <td>-0.019776</td>\n",
       "      <td>206.790267</td>\n",
       "      <td>4.376681e-34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19.0</th>\n",
       "      <td>0.028088</td>\n",
       "      <td>207.787726</td>\n",
       "      <td>9.561866e-34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20.0</th>\n",
       "      <td>-0.027003</td>\n",
       "      <td>208.710349</td>\n",
       "      <td>2.112205e-33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21.0</th>\n",
       "      <td>-0.055723</td>\n",
       "      <td>212.642565</td>\n",
       "      <td>1.158853e-33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22.0</th>\n",
       "      <td>0.088182</td>\n",
       "      <td>222.498291</td>\n",
       "      <td>4.254068e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23.0</th>\n",
       "      <td>-0.036855</td>\n",
       "      <td>224.221282</td>\n",
       "      <td>6.295186e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24.0</th>\n",
       "      <td>0.009381</td>\n",
       "      <td>224.333001</td>\n",
       "      <td>1.898527e-34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25.0</th>\n",
       "      <td>0.081898</td>\n",
       "      <td>232.854886</td>\n",
       "      <td>1.271566e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26.0</th>\n",
       "      <td>-0.058345</td>\n",
       "      <td>237.183596</td>\n",
       "      <td>5.629076e-36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27.0</th>\n",
       "      <td>0.013349</td>\n",
       "      <td>237.410381</td>\n",
       "      <td>1.558049e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28.0</th>\n",
       "      <td>-0.015433</td>\n",
       "      <td>237.713754</td>\n",
       "      <td>4.092249e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29.0</th>\n",
       "      <td>-0.026851</td>\n",
       "      <td>238.632792</td>\n",
       "      <td>8.038342e-35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30.0</th>\n",
       "      <td>0.009380</td>\n",
       "      <td>238.745049</td>\n",
       "      <td>2.223644e-34</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AC           Q      Prob(>Q)\n",
       "lag                                     \n",
       "1.0  -0.002275    0.006449  9.359951e-01\n",
       "2.0  -0.129480   20.912756  2.876423e-05\n",
       "3.0  -0.028373   21.917440  6.786280e-05\n",
       "4.0  -0.355763  180.002245  7.448277e-38\n",
       "5.0  -0.043788  182.399034  1.644481e-37\n",
       "6.0  -0.062703  187.317763  9.458142e-38\n",
       "7.0   0.061393  192.036844  5.563848e-38\n",
       "8.0   0.057800  196.223070  3.990769e-38\n",
       "9.0   0.016266  196.554885  1.746532e-37\n",
       "10.0 -0.026174  197.414742  5.583377e-37\n",
       "11.0 -0.019969  197.915611  2.012972e-36\n",
       "12.0  0.066716  203.511188  6.142887e-37\n",
       "13.0  0.005911  203.555152  2.542742e-36\n",
       "14.0  0.008139  203.638558  9.912796e-36\n",
       "15.0  0.004814  203.667768  3.816054e-35\n",
       "16.0 -0.039238  205.609590  5.813131e-35\n",
       "17.0 -0.023323  206.296215  1.547207e-34\n",
       "18.0 -0.019776  206.790267  4.376681e-34\n",
       "19.0  0.028088  207.787726  9.561866e-34\n",
       "20.0 -0.027003  208.710349  2.112205e-33\n",
       "21.0 -0.055723  212.642565  1.158853e-33\n",
       "22.0  0.088182  222.498291  4.254068e-35\n",
       "23.0 -0.036855  224.221282  6.295186e-35\n",
       "24.0  0.009381  224.333001  1.898527e-34\n",
       "25.0  0.081898  232.854886  1.271566e-35\n",
       "26.0 -0.058345  237.183596  5.629076e-36\n",
       "27.0  0.013349  237.410381  1.558049e-35\n",
       "28.0 -0.015433  237.713754  4.092249e-35\n",
       "29.0 -0.026851  238.632792  8.038342e-35\n",
       "30.0  0.009380  238.745049  2.223644e-34"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r,q,p=sm.tsa.acf(resid.values.squeeze(),qstat=True) \n",
    "data=np.c_[range(1,31),r[1:],q,p]\n",
    "table=pd.DataFrame(data,columns=['lag', \"AC\", \"Q\",\"Prob(>Q)\"]) \n",
    "table.set_index('lag')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "L什么什么-Box检验，前12行最后一列>0.05,**没**通过"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>SARIMAX Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>       <td>USD (PM)</td>     <th>  No. Observations:  </th>   <td>1243</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>            <td>ARIMA(2, 2, 1)</td>  <th>  Log Likelihood     </th> <td>-5329.517</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>            <td>Sat, 19 Feb 2022</td> <th>  AIC                </th> <td>10667.034</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                <td>10:40:12</td>     <th>  BIC                </th> <td>10687.529</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Sample:</th>                  <td>0</td>        <th>  HQIC               </th> <td>10674.742</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th></th>                      <td> - 1243</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>        <td>opg</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "     <td></td>       <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ar.L1</th>  <td>    0.0106</td> <td>    0.021</td> <td>    0.499</td> <td> 0.618</td> <td>   -0.031</td> <td>    0.052</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ar.L2</th>  <td>   -0.4019</td> <td>    0.015</td> <td>  -27.517</td> <td> 0.000</td> <td>   -0.431</td> <td>   -0.373</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.L1</th>  <td>   -1.0000</td> <td>    1.463</td> <td>   -0.683</td> <td> 0.494</td> <td>   -3.868</td> <td>    1.868</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>sigma2</th> <td>  312.5132</td> <td>  456.853</td> <td>    0.684</td> <td> 0.494</td> <td> -582.902</td> <td> 1207.928</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Ljung-Box (L1) (Q):</th>     <td>0.01</td> <th>  Jarque-Bera (JB):  </th> <td>1450.01</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Q):</th>                <td>0.93</td> <th>  Prob(JB):          </th>  <td>0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Heteroskedasticity (H):</th> <td>5.68</td> <th>  Skew:              </th>  <td>-0.24</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(H) (two-sided):</th>    <td>0.00</td> <th>  Kurtosis:          </th>  <td>8.27</td>  \n",
       "</tr>\n",
       "</table><br/><br/>Warnings:<br/>[1] Covariance matrix calculated using the outer product of gradients (complex-step)."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                               SARIMAX Results                                \n",
       "==============================================================================\n",
       "Dep. Variable:               USD (PM)   No. Observations:                 1243\n",
       "Model:                 ARIMA(2, 2, 1)   Log Likelihood               -5329.517\n",
       "Date:                Sat, 19 Feb 2022   AIC                          10667.034\n",
       "Time:                        10:40:12   BIC                          10687.529\n",
       "Sample:                             0   HQIC                         10674.742\n",
       "                               - 1243                                         \n",
       "Covariance Type:                  opg                                         \n",
       "==============================================================================\n",
       "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "ar.L1          0.0106      0.021      0.499      0.618      -0.031       0.052\n",
       "ar.L2         -0.4019      0.015    -27.517      0.000      -0.431      -0.373\n",
       "ma.L1         -1.0000      1.463     -0.683      0.494      -3.868       1.868\n",
       "sigma2       312.5132    456.853      0.684      0.494    -582.902    1207.928\n",
       "===================================================================================\n",
       "Ljung-Box (L1) (Q):                   0.01   Jarque-Bera (JB):              1450.01\n",
       "Prob(Q):                              0.93   Prob(JB):                         0.00\n",
       "Heteroskedasticity (H):               5.68   Skew:                            -0.24\n",
       "Prob(H) (two-sided):                  0.00   Kurtosis:                         8.27\n",
       "===================================================================================\n",
       "\n",
       "Warnings:\n",
       "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
       "\"\"\""
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gold_diff_mod.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# gold_diff_mod.index\n",
    "# model.index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:834: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  return get_prediction_index(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# predict=gold_diff_mod.predict()\n",
    "predict=gold_diff_mod.forecast(10)\n",
    "predict=pd.Series(predict)\n",
    "predict.plot(figsize=(18,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "预测后10天"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1bd944697c0>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1800x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(25,4))\n",
    "plt.plot(x,gold_diff)\n",
    "plt.plot(x,predict,color='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "以往数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['2016-09-14T00:00:00.000000000', '2016-09-15T00:00:00.000000000',\n",
       "       '2016-09-16T00:00:00.000000000', ...,\n",
       "       '2021-09-08T00:00:00.000000000', '2021-09-09T00:00:00.000000000',\n",
       "       '2021-09-10T00:00:00.000000000'], dtype='datetime64[ns]')"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gold_diff.index.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "b5fc3e43e814ad01a3162358639356c8d5269fa9e7a0a06af2b9cdf0ba130cad"
  },
  "kernelspec": {
   "display_name": "Python 3.8.8 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
